-k The monthly incomes for 12 randomly selected people, each with a bachelor's 4450.86 degree in economics, are shown on the right. Complete parts (a) through (c) below. 4455.22 Assume the population is normally distributed. 4283.26 3946.87 *** (b) Find the sample standard deviation. S= (Round to one decimal place as needed.) (c) Construct a 99% confidence interval for the population mean . A 99% confidence interval for the population mean is (). (Round to one decimal place as needed.) O 4596 4151 4527. 4023 70°F Sunny
-k The monthly incomes for 12 randomly selected people, each with a bachelor's 4450.86 degree in economics, are shown on the right. Complete parts (a) through (c) below. 4455.22 Assume the population is normally distributed. 4283.26 3946.87 *** (b) Find the sample standard deviation. S= (Round to one decimal place as needed.) (c) Construct a 99% confidence interval for the population mean . A 99% confidence interval for the population mean is (). (Round to one decimal place as needed.) O 4596 4151 4527. 4023 70°F Sunny
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![**Monthly Incomes Study of Bachelor's Degree Holders in Economics**
The following data represents the monthly incomes of 12 randomly selected individuals, each possessing a bachelor's degree in economics:
- 4450.86
- 4596.99
- 4366.62
- 4455.22
- 4151.53
- 3727.83
- 4283.26
- 4527.11
- 4407.07
- 3946.87
- 4023.25
- 4221.28
Assume the population is normally distributed.
**Tasks:**
**(b) Find the Sample Standard Deviation**
Compute the standard deviation of the sample to one decimal place.
**(c) Construct a 99% Confidence Interval for the Population Mean (μ)**
Determine a 99% confidence interval for the population mean. Round to one decimal place as needed.
This exercise will help you understand how to apply statistical methods to interpret income data and assess the mean income through the use of confidence intervals.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F96d4c8cb-af63-459c-8cdf-c777fdfe530a%2Fd65e70e7-9ca2-4dd6-8bf8-3aee893c1378%2F0emqt6b_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Monthly Incomes Study of Bachelor's Degree Holders in Economics**
The following data represents the monthly incomes of 12 randomly selected individuals, each possessing a bachelor's degree in economics:
- 4450.86
- 4596.99
- 4366.62
- 4455.22
- 4151.53
- 3727.83
- 4283.26
- 4527.11
- 4407.07
- 3946.87
- 4023.25
- 4221.28
Assume the population is normally distributed.
**Tasks:**
**(b) Find the Sample Standard Deviation**
Compute the standard deviation of the sample to one decimal place.
**(c) Construct a 99% Confidence Interval for the Population Mean (μ)**
Determine a 99% confidence interval for the population mean. Round to one decimal place as needed.
This exercise will help you understand how to apply statistical methods to interpret income data and assess the mean income through the use of confidence intervals.
![**Statistical Analysis of Monthly Incomes**
The monthly incomes for 12 randomly selected individuals, each with a bachelor's degree in economics, are provided below. Assume the population is normally distributed.
**Income Data (in dollars):**
- 4450.86
- 4596.99
- 4366.62
- 4455.22
- 4151.53
- 3727.83
- 4283.26
- 4527.11
- 4407.07
- 3946.87
- 4023.25
- 4221.28
**Statistical Tasks:**
**(a) Calculate the Sample Mean:**
- The sample mean (\(\bar{x}\)) is an average of all the provided income values.
- Round your result to one decimal place as needed.
**(b) Calculate the Sample Standard Deviation:**
- The standard deviation (s) measures the amount of variation or dispersion in the sample incomes.
- Round your result to one decimal place as needed.
**(c) Construct a 99% Confidence Interval for the Population Mean (\(\mu\)):**
- Use the sample mean and standard deviation to construct the confidence interval.
- The confidence interval provides an estimated range of values which is likely to include the population mean, with a confidence level of 99%.
**Instructions:**
For each step, ensure that you use appropriate formulas and round your answers as specified. This information will enhance understanding of how to handle data and perform statistical analysis accurately.
**Note:** No graphs or diagrams are present in the image.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F96d4c8cb-af63-459c-8cdf-c777fdfe530a%2Fd65e70e7-9ca2-4dd6-8bf8-3aee893c1378%2F231uj8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Statistical Analysis of Monthly Incomes**
The monthly incomes for 12 randomly selected individuals, each with a bachelor's degree in economics, are provided below. Assume the population is normally distributed.
**Income Data (in dollars):**
- 4450.86
- 4596.99
- 4366.62
- 4455.22
- 4151.53
- 3727.83
- 4283.26
- 4527.11
- 4407.07
- 3946.87
- 4023.25
- 4221.28
**Statistical Tasks:**
**(a) Calculate the Sample Mean:**
- The sample mean (\(\bar{x}\)) is an average of all the provided income values.
- Round your result to one decimal place as needed.
**(b) Calculate the Sample Standard Deviation:**
- The standard deviation (s) measures the amount of variation or dispersion in the sample incomes.
- Round your result to one decimal place as needed.
**(c) Construct a 99% Confidence Interval for the Population Mean (\(\mu\)):**
- Use the sample mean and standard deviation to construct the confidence interval.
- The confidence interval provides an estimated range of values which is likely to include the population mean, with a confidence level of 99%.
**Instructions:**
For each step, ensure that you use appropriate formulas and round your answers as specified. This information will enhance understanding of how to handle data and perform statistical analysis accurately.
**Note:** No graphs or diagrams are present in the image.
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